The complex number z=3+iz = \sqrt{3} + iz=3+i can be written in the form r(cosθ+isinθ)r(\cos \theta + i \sin \theta)r(cosθ+isinθ). What are rrr and θ\thetaθ?
r=2,θ=π/3r=2, \theta=\pi/3r=2,θ=π/3
r=2,θ=π/6r=2, \theta=\pi/6r=2,θ=π/6
r=4,θ=π/6r=4, \theta=\pi/6r=4,θ=π/6
r=3,θ=π/3r=\sqrt{3}, \theta=\pi/3r=3,θ=π/3